Since the phenomena referred to as wavefront propagation and coarsening are observed in a wide spectrum of dynamical systems, the development of principles to control these effects represents a relevant interdisciplinary problem. One of the known approaches involves the impact of noise for this purpose. Noise is actively used for the control of various phenomena such as, for example, synchronization in multilayer networks where the so-called multiplexing noise included into the interaction of the network layers regulates the synchronization of spatio-temporal patterns [1]}. Moreover, constructive role of noise and the related resonance phenomena continue to attract the attention of researches as confirmed by recent works on, for example, coherence resonance [2]}, [3]}, [4]}, [5]}, [6]}, [7]} or stochastic resonance [8]}, [9]}.
